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Attractors for Differential Equations with Variable Delays

✍ Scribed by Tomás Caraballo; José A. Langa; James C. Robinson


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
127 KB
Volume
260
Category
Article
ISSN
0022-247X

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✦ Synopsis


Using the relatively new concept of a pullback attractor, we present some results on the existence of attractors for differential equations with variable delay. We give a variety of examples to which our result applies.


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Consider the delay differential equation xЈ t q p t x t y s 0, where p t g Žw . q . C t ,ϱ , R and is a positive constant. We obtain a sharp sufficient condition 0 for the oscillation of this equation, which improves previously known results.